1001120021120 has 256 divisors, whose sum is σ = 2537848454400. Its totient is φ = 376874336256.

The previous prime is 1001120021087. The next prime is 1001120021141. The reversal of 1001120021120 is 211200211001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255581402 + ... + 255585318.

It is an arithmetic number, because the mean of its divisors is an integer number (9913470525).

Almost surely, 2^{1001120021120} is an apocalyptic number.

1001120021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001120021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268924227200).

1001120021120 is an abundant number, since it is smaller than the sum of its proper divisors (1536728433280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001120021120 is a wasteful number, since it uses less digits than its factorization.

1001120021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001120021120 its reverse (211200211001), we get a palindrome (1212320232121).

The spelling of 1001120021120 in words is "one trillion, one billion, one hundred twenty million, twenty-one thousand, one hundred twenty".